Atkin-Lehner |
2- 3- 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cw |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
890643600 = 24 · 35 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-900,-10368] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:18:1] |
Generators of the group modulo torsion |
j |
80627166849601/890643600 |
j-invariant |
L |
11.373801943828 |
L(r)(E,1)/r! |
Ω |
0.87222050613425 |
Real period |
R |
0.65200266812333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117810z1 |
Quadratic twists by: -3 |